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Zapiski Nauchnykh Seminarov LOMI, 1983, Volume 123, Pages 167–184 (Mi znsl4143)  
This article is cited in 3 scientific papers (total in 3 papers)

Examples of non-abelian discrete groups with non-trivial exit boundary

V. A. Kaimanovich
Full-text PDF (950 kB) Citations (3)
Abstract: Hew types of counterexamples are given disproving some old conjectures on relations between exit (or, Poisson) boundary of a random walk on a group and its amenability and growth. Random walk with non-trivial exit boundaries on the affine group of the diadic-rational line and on the infinite symmetric group are constructed.
Bibliographic databases:
Document Type: Article
UDC: 517.39 : 519.4
Language: Russian
Citation: V. A. Kaimanovich, “Examples of non-abelian discrete groups with non-trivial exit boundary”, Differential geometry, Lie groups and mechanics. Part V, Zap. Nauchn. Sem. LOMI, 123, "Nauka", Leningrad. Otdel., Leningrad, 1983, 167–184
Citation in format AMSBIB
\Bibitem{Kai83}
\by V.~A.~Kaimanovich
\paper Examples of non-abelian discrete groups with non-trivial exit boundary
\inbook Differential geometry, Lie groups and mechanics. Part~V
\serial Zap. Nauchn. Sem. LOMI
\yr 1983
\vol 123
\pages 167--184
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4143}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=697250}
\zmath{https://zbmath.org/?q=an:0517.60006}
Linking options:
  • https://www.mathnet.ru/eng/znsl4143
  • https://www.mathnet.ru/eng/znsl/v123/p167
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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